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Application Research of Bootstrap Method in Small Sample Measured Data Reduction of Random Vibration Environment |
Received:June 22, 2013 Revised:September 01, 2013 |
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DOI:10.7643/issn.1672-9242.2013.05.015 |
KeyWord:bootstrap method small sample data reduction |
Author | Institution |
ZHANG Jian-jun |
China Aero-polytechnology Establishment,Beijing,China |
SUN Jian-yong |
China Aero-polytechnology Establishment,Beijing,China |
CHANG Hai-juan |
China Aero-polytechnology Establishment,Beijing,China |
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Abstract: |
Traditional normal upper tolerance limit method is not suitable for statistical reduction of measured small sample data in determination of vibration environmental condition of platform. A calculation method to statistically reduce vibration environmental condition by using Bootstrap method resampling on measured specimen. Upper tolerance limit of test data with normal distribution was estimated using Bootstrap method. The applicability of confidence interval estimation methods was verified through comparison with true values. Bias-corrected bootstrap method and bootstrap-t method were put forward for statistical reduction of measured small sample data. The upper tolerance limits of vibration were estimated and compared by the above method and the traditional computation methods using flight measurements of some aircraft. |
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